# Thread: Linear algibra - Vector space Q2

1. ## Linear algibra - Vector space Q2

I have another question as follows;

Determine whether or not W is a subspace of $\mathbb{R}^3$, where W consists of all vectors (a, b, c) in $\mathbb{R}^3$
such that
(i). $a \ge 0$ (ii). a = 0 (iii). a = 1

2. Originally Posted by ddi1973
I have another question as follows;

Determine whether or not W is a subspace of $\mathbb{R}^3$, where W consists of all vectors (a, b, c) in $\mathbb{R}^3$
such that
(i). $a \ge 0$ (ii). a = 0 (iii). a = 1
Try this on your own, and show me your workings if you get stuck again.

Remember what I said in the other thread.

For W to be a subspace it must be:
1. Non-empty